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math.AP2025
Analysis and Numerical Approximation to Interactive Dynamics of Navier Stokes-Plate Interaction PDE System
Pelin G. Geredeli, Quyuan Lin, Dylan Mcknight +1
We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic…
math.AP2024
Gevrey Regularity for a Fluid-Structure Interaction Model
George Avalos, Dylan McKnight, Sara McKnight
A result of Gevrey regularity is ascertained for a semigroup which models a fluid-structure interaction problem. In this model, the fluid evolves in a piecewise smooth or convex ge…